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3 years ago

Find the inequality represented by the graph

Mathematics

2 answers:

Vika [28.1K]3 years ago

8 0

Answer:

y < 1/4x + 3

Step-by-step explanation:

the line is dotted so we know the symbol will not include the "equal to" part

we can also see that the shading in below the y intercept, so we know that the symbol will also be less than

this means the symbol is <

now, create an equation for the line:

we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4

so the slope is 1/4

now put this together and you get 1/4x + 3

this part will go on the right side of the < symbol in your inequality

so now you can create an inequality: y < 1/4x + 3

Ahat [919]3 years ago

8 0

Answer:

y < $\frac{1}{4}$ x + 3

Step-by-step explanation:

m = $\frac{1}{4}$ and coordinates of y-intercept are (0, 3)

y <  $\frac{1}{4}$  x + 3

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A computer and printer cost a total of $900. The cost of the computer is three times the cost of the printer. Find the cost of e

KiRa [710]

Answer:

C is computer

P is printer

3c + p = 900

750 + 150 = 900

So...

Computer = $750

Printer = $150

Brainiest plz :)

6 0

3 years ago

Y=5x+2 4x-y=0 is (2,12) a solution of the system?

Svetach [21]

Answer:

The point (2,12) is not a solution of the system

see the explanation

Step-by-step explanation:

we have

$y=5x+2$ ----> equation A

$4x-y=0$ ----> equation B

Solve the system by elimination

Adds equation A and equation B

$y=5x+2\\4x-y=0\\------\\y+4x-y=5x+2+0\\4x=5x+2\\5x-4x=-2\\x=-2$

Find the value of y

substitute the value of x in the equation A

$y=5(-2)+2=-8$

The solution of the system is the point (-2,-8)

The system has only one solution, because the intersection point both lines is only one point

therefore

The point (2,12) is not a solution of the system

6 0

3 years ago

Find the indefinite integral using the substitution provided.

Nady [450]

Answer: $7\text{Ln}\left(e^{2x}+10\right)+C$

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation $u = e^{2x}+10$

Apply the derivative and multiply both sides by 7 like so

$u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\$

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

$\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\$

Integrating leads to

$\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\$

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of $\frac{14e^{2x}}{e^{2x}+10}$

4 0

2 years ago

HELP PLSSSSSSSSSSSSSS

Rom4ik [11]

9

Explanation: it’s next in the sequence

3 0

3 years ago

Office supplies had a normal starting balance of $75. there were debit postings of $80 and credit postings of $60 during the mon

Katena32 [7]

Answer:

I think it’s 95 debit but it could be credit

Step-by-step explanation:

75 + 80 = 155

155 - 60 = 95

5 0

3 years ago

Find the inequality represented by the graph​

Find the inequality represented by the graph